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Finding the Fourth Proportional to 24,675.72, 37,008.22 and 7,810.04

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Solution

The fourth proportional to 24,675.72, 37,008.22 and 7,810.04 is: 11,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675.72 : 37,008.22 = 7,810.04 : x
  2. Step 2: Convert to fraction form
    24,675.72/37,008.22 = 7,810.04/x
  3. Step 3: Cross multiply
    24,675.72x = 37,008.22 × 7,810.04
  4. Step 4: Simplify right side
    24,675.72x = 289,035,678.53
  5. Step 5: Solve for x
    x = 289,035,678.53/24,675.72
  6. Step 6: Final answer
    x = 11,713.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.